4(2a+3)-3(a+7)=8

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Solution for 4(2a+3)-3(a+7)=8 equation:


Simplifying
4(2a + 3) + -3(a + 7) = 8

Reorder the terms:
4(3 + 2a) + -3(a + 7) = 8
(3 * 4 + 2a * 4) + -3(a + 7) = 8
(12 + 8a) + -3(a + 7) = 8

Reorder the terms:
12 + 8a + -3(7 + a) = 8
12 + 8a + (7 * -3 + a * -3) = 8
12 + 8a + (-21 + -3a) = 8

Reorder the terms:
12 + -21 + 8a + -3a = 8

Combine like terms: 12 + -21 = -9
-9 + 8a + -3a = 8

Combine like terms: 8a + -3a = 5a
-9 + 5a = 8

Solving
-9 + 5a = 8

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 5a = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 5a = 8 + 9
5a = 8 + 9

Combine like terms: 8 + 9 = 17
5a = 17

Divide each side by '5'.
a = 3.4

Simplifying
a = 3.4

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